We study the expected $ L_2-$discrepancy under two classes of partitions, explicit and exact formulas are derived respectively. These results attain better expected $L_2-$discrepancy formulas than jittered sampling.

翻译：我们研究了两类划分下的期望$L_2$偏差，并分别推导了显式精确公式。这些结果获得了比抖动抽样更优的期望$L_2$偏差公式。